a handball is hit toward a wall with a velocity of 13.7 m/s in the forward direction. it returns with a velocity of 11.5 m/s in the backward direction. if the time interval during which the ball is accelerated is .021 s what is the handballs average acceleration?
-1200 or 1200 idk
To find the average acceleration of the handball, we can use the following formula:
\[ \text{Average acceleration} = \frac{\text{Change in velocity}}{\text{Time interval}} \]
The change in velocity can be calculated by subtracting the initial velocity from the final velocity:
\[ \text{Change in velocity} = \text{Final velocity} - \text{Initial velocity} \]
Substituting the given values into the equation, we get:
\[ \text{Change in velocity} = 11.5 \, \text{m/s} - 13.7 \, \text{m/s} = -2.2 \, \text{m/s} \]
Now, let's calculate the average acceleration:
\[ \text{Average acceleration} = \frac{-2.2 \, \text{m/s}}{0.021 \, \text{s}} \]
Calculating the division, we get:
\[ \text{Average acceleration} = -104.76 \, \text{m/s}^2 \]
Therefore, the handball's average acceleration is approximately -104.76 m/s². Note that the negative sign indicates that the acceleration is in the opposite direction of the initial velocity.
To find the average acceleration, we need to use the equation:
Acceleration (a) = (Final Velocity - Initial Velocity) / Time
Given:
Initial Velocity (u) = 13.7 m/s (in the forward direction)
Final Velocity (v) = -11.5 m/s (in the backward direction)
Time (t) = 0.021 s
Now, let's substitute these values into the formula to find the average acceleration:
Acceleration (a) = (-11.5 m/s - 13.7 m/s) / 0.021 s
First, we need to find the sum of -11.5 m/s and 13.7 m/s:
-11.5 m/s + 13.7 m/s = 2.2 m/s
Now, substitute the values into the formula:
Acceleration (a) = 2.2 m/s / 0.021 s
Finally, divide 2.2 m/s by 0.021 s to get the average acceleration:
Acceleration (a) = 104.76 m/s²
Therefore, the handball's average acceleration is 104.76 m/s².
Force = rate of change of momentum.
Calculate the momentum (in terms of the mass m) before and after impact. Dividing by the duration of acceleration will give the force acted on the object (handball). Finally divide the force by the mass m will give the acceleration. It is likely to be a large number because of the small duration involved.